Write a rule for g and identify the vertex.
1. Let g be a translation 2 units up, followed by a reflection in the x-axis and
a vertical stretch by a factor of 4 of the graph of f  x  x 2 .
2. Let g be a horizontal shrink by a factor of 1 , followed by a translation
3
2 units up and 4 units left of the graph of f  x  3x  2  5.
2
3. Let the graph of g be a vertical stretch by a factor of 4 and a reflection in the
x-axis of the graph of f  x  x 2  3. Write a rule for g.
4. Let the graph of g be a translation 1 unit down and 3 units left of the graph of f  x  x  4  2.
Write a rule for g.
5. Let the graph of g be a horizontal shrink by a factor of 1 , followed by a translation 1 unit up of the
3
graph of f  x  x 2 . Write a rule for g.
6.Let the graph of g be a translation 2 units up and 2 units right, followed by a reflection in the y-axis of
the graph of f  x   x  3  2. Write a rule
2
for g.
7.
Let the graph of g be a translation 2 units left and 1 unit down, followed by a reflection in the y-axis
of the graph of f(x) = (2x + 1)2 − 4. Write a rule for g
8.
Let g be a translation 1 unit left and 6 units down, followed by a vertical shrink by a factor of 1 —2
of the graph of f(x) = 3(x + 2)2.
9.
Let g be a horizontal shrink by a factor of 1/4 , followed by a translation 1 unit up and 3 units right
of the graph of f(x) = (2x + 1)2 − 11.